Consider the vector field F (x, y, z) = xi + yj + zk. a) Find a function f such that F = Vf and f(0, 0, 0) = 0. f(x, y, z) = b) Use part a) to compute the work done by F on a particle moving along the curve C given by r (t) = (1 + 5 sin t)i + (1 + 3 sin² t)j + (1+3 sin³ t)k, 0/

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